New iPhone 6s Plus lagging.

I've had my phone for about 7 hours. At first right out of the box it was very snappy. Very quick. Then after I set it up (as new iPhone). Didn't do it from a back up, it prompted me to update to 9.0.1. Since doing that I'm noticing a lot of little things that concern me.
Everyone of the following is happening but not all the time, when it doesn't happen it works very very well as expected.
1- fingerprint unlock sometimes doesn't work at all
2- home pages not changing when swiping left to right or right to left.
3- all home screen apps are frozen, not responding to press in landscape.
4- very poor rotation response when I rotate the phone.
5- apps rotate back when going from landscape to portrait but not the bottom dock apps. They stay sideways.

Again, none of these issues are constant. When the phone does work, it works well. Outstanding actually. For instance, the fingerprint unlock is so fast that I almost question if the phone was locked. Rotation very fast. But the issues I've had are "bugging" me.

Anyone else had similar issues? Could it be 9.0.1 or could it be an issue with the device itself?

Well I meant plugging the phone into your computer and restore the iphone from iTunes. This will download a completely new iOS package and install it. It sounds like the base system is wonky and not your data

I've noticed alot of times when I first unlock using TouchID my screen is frozen for 2-3 seconds. Haven't had any crashes or rotation issues though. Haven't really tried anything to fix it yet. I also set up as new instead of using any backups.

Well I meant plugging the phone into your computer and restore the iphone from iTunes. This will download a completely new iOS package and install it. It sounds like the base system is wonky and not your data

I've noticed alot of times when I first unlock using TouchID my screen is frozen for 2-3 seconds. Haven't had any crashes or rotation issues though. Haven't really tried anything to fix it yet. I also set up as new instead of using any backups.

Only hiccup I've experienced consistently today is the Live wallpaper not responding at times when pressed...other than that, everything seems to be functioning normally and feels quite spritely compared to my 6 Plus (which was already a great performer in my opinion).

Only hiccup I've experienced consistently today is the Live wallpaper not responding at times when pressed...other than that, everything seems to be functioning normally and feels quite spritely compared to my 6 Plus (which was already a great performer in my opinion).

I don't know why, but this iPhone I bought with t-mobile has a ridiculously slow internet connection, wifi is fast but I can't figure out why the lte is no good.

I had a note 4 before this and it was fast as heck at home, I thought this new iPhone would be better with the new band 12. Anyone else have this issue and what might I be able to do to fix the network speed. T-mobile is away faster than this!